摘要
针对非线性时滞系统,基于模糊动态模型,采用分段Lyapunov函数法,设计出一种新型稳定模糊控制方案,克服了采用公共Lyapunov函数法的并行分配补偿法中需求解公共正定矩阵的困难。新方法只要求一系列正定矩阵满足一系列Lyapunov不等式即可,进一步扩大了解的存在性,减小了保守性。采用线性矩阵不等式法,避免了采用公共Lyapunov函数法中繁琐的Riccati方程求解。
A new of stable fuzzy control scheme for nonlinear time-delay system is designed based on the piecewise Lyapunov function. The difficulty in solving a common positive matrix with the parallel distributed compensation method adopting common Lyapunov function can be overcome. In the new method it is only required that some positive matrices satisfy corrcesponding Lyapunov inequalities, the probability of solution is enlarged and the conservation is further reduced. With linear matrix inequality method, the solution to Riccati equation in common Lyapunov function is not needed any more.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2004年第12期1867-1870,共4页
Systems Engineering and Electronics
